"Vorwort" dated: 1909

Topics: Mollusks, Mollusks

"1909"--Vorwort

Topics: Mollusks, Snails, Mussels, Shellfish

"Measuring Various Types of Correspondence" is an article from The School Review, Volume 30. View more articles from The School Review.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1077996

Source: http://www.jstor.org/stable/10.2307/1077996

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Sep 21, 2013
09/13

by
B. Geyer; D. Robaschik

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Power corrections for virtual Compton scattering at leading twist are etermined at operator level. From the complete off-cone representation of the twist-2 Compton operator integral representations for the trace, antisymmetric and symmetric part of that operator are derived. The operator valued invariant functions are written in terms of iterated operators and may lead to interrelations. For matrix elements they go over into relations for generalized parton distributions. -- Reducing to the...

Source: http://arxiv.org/abs/hep-ph/0407301v3

"A New Exposition of Project Teaching" is an article from The School Review, Volume 29. View more articles from The School Review.View this article on JSTOR.View this article's JSTOR metadata.You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1078175

Source: http://www.jstor.org/stable/10.2307/1078175

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Sep 18, 2013
09/13

by
B. Geyer; D. Mülsch

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We show that the partially topological twisted N=16, D=2 super Yang-Mill theory gives rise to a N_T=8 Hodge-type cohomological gauge theory with global SU(4) symmetry.

Source: http://arxiv.org/abs/hep-th/0210268v1

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Sep 19, 2013
09/13

by
B. Geyer; D. Mülsch

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We consider a recently proposed two-dimensional Abelian model for a Hodge theory, which is neither a Witten type nor a Schwarz type topological theory. It is argued that this model is not a good candidate for a Hodge theory since, on-shell, the BRST Laplacian vanishes. We show, that this model allows for a natural extension such that the resulting topological theory is of Witten type and can be identified with the twisted N=16, D=2 super Maxwell theory. Furthermore, the underlying basic...

Source: http://arxiv.org/abs/hep-th/0304023v2

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Sep 17, 2013
09/13

by
B. Geyer; D. M"ulsch

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It is shown that the dimensional reduction of the N_T=2, D=3 Blau-Thompson model to D=2, i.e., the novel topological twist of N=8, D=2 super Yang-Mills theory, provides an example of a Hodge-type cohomological theory. In that theory the generators of the topological shift, co-shift and gauge symmetry, together with a discrete duality operation, are completely analogous to the de Rham cohomology operators and the Hodge *-operation.

Source: http://arxiv.org/abs/hep-th/0108058v1

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Sep 21, 2013
09/13

by
B. Geyer; D. M"ulsch

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Nonabelian gauge theories with a generic background field A_mu in nonlinear gauges due to Delbourgo and Jarvis are investigated. The A_mu-dependence is completely determined by the help of a linear differential equation which obtaines from the Kluberg-Stern-Zuber and the Lee identity. Its integration leads to a relation between the one-particle irreducible vertex functional in the background field A_mu and the corresponding functional for A_mu = 0. An analogous relation holds for the generating...

Source: http://arxiv.org/abs/hep-th/9711050v1

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Sep 18, 2013
09/13

by
B. Geyer; D. M"ulsch

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A new type of topological matter interactions involving second-rank antisymmetric tensor matter fields with an underlying $N_T \geq 1$ topological supersymmetry are proposed. The construction of the 4-dimensional, $N_T = 1$ Donaldson-Witten theory, the $N_T = 1$ super-BF model and the $N_T = 2$ topological B-model with tensor matter are explicitly worked out.

Source: http://arxiv.org/abs/hep-th/0202053v2

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Sep 21, 2013
09/13

by
J. Blümlein; B. Geyer; D. Robaschik

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The non-singlet and singlet anomalous dimensions of the twist--2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in $O(\alpha_s)$. We apply these results for the derivation of evolution equations for partition functions, structure functions, and wave functions which are defined as Fourier transforms of the matrix elements of the light-ray operators. Special cases are the Altarelli-Parisi and Brodsky-Lepage kernels. Finally we extend Radyushkin's...

Source: http://arxiv.org/abs/hep-ph/9711405v2

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Sep 21, 2013
09/13

by
B. Geyer; D. Robaschik; J. Eilers

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The off-cone Compton operator of twist-2 is Fourier transformed using a general procedure which is applicable, in principle, to any QCD tensor operator of definite (geometric) twist. That method allows, after taking the non-forward matrix elements, to separate quite effectively their imaginary part and to reveal some hidden structure in terms of appropriately defined variables, including generalized Nachtmann variables. In this way, without using the equations of motion, generalizations of the...

Source: http://arxiv.org/abs/hep-ph/0407300v2

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Sep 18, 2013
09/13

by
B. Geyer; D. Müller; D. Robaschik

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The twist three contributions to the $Q^2$-evolution of the spin-dependent structure function $g_2(x)$ are considered in the non-local operator product approach. Starting from the perturbative expansion of the T-product of two electromagnetic currents, we introduce the nonlocal light-cone expansion proved by Anikin and Zavialov and determine the physical relevant set of light-ray operators of twist three. Using the equations of motion we show the equivalence of these operators to the...

Source: http://arxiv.org/abs/hep-ph/9606320v1

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Sep 23, 2013
09/13

by
B. Geyer; D. Müller; D. Robaschik

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The nonperturbative parton distribution and wave functions are directly related to matrix elements of light-ray (nonlocal) operators. These operators are generalizations of the standard local operators known from the operator product expansion. The renormalization group equation for these operators leads to evolution equations for more general distribution amplitudes which include the Altarelli-Parisi and the Brodsky-Lepage equations as special cases. It is possible to derive the...

Source: http://arxiv.org/abs/hep-ph/9406259v1

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Sep 21, 2013
09/13

by
J. Blümlein; B. Geyer; D. Robaschik

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The general evolution kernels of the twist 2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in ${\cal O}(\alpha_s)$. From these evolution kernels a series of special evolution equations can be derived, among them the Altarelli-Parisi equations and the evolution equation for the meson wave function. In the case of twist 3 the results of Balitzki and Braun are confirmed.

Source: http://arxiv.org/abs/hep-ph/9705459v1

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Sep 21, 2013
09/13

by
J. Blümlein; B. Geyer; D. Robaschik

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The non-singlet and singlet evolution kernels of the twist--2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in $O(\alpha_s)$ for the general case of virtualities $q^2, q'^2 \neq 0$. Special cases as the kernels for the general single-variable evolution equation and the Altarelli-Parisi and Brodsky-Lepage limits are derived from these results.

Source: http://arxiv.org/abs/hep-ph/9705264v2

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Sep 18, 2013
09/13

by
J. Blümlein; B. Geyer; D. Robaschik

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A systematic derivation is presented of the twist-2 anomalous dimensions of the general quark and gluon light-ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various representations of the anomalous dimensions are derived both in the non-local and the local light cone expansion and their properties are discussed in detail. Evolution equations for these operators are derived using different representations. General two- and...

Source: http://arxiv.org/abs/hep-ph/9903520v2

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Sep 21, 2013
09/13

by
J. Blümlein; B. Geyer; D. Robaschik

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We describe the twist-2 contributions to inclusive unpolarized and polarized deep-inelastic diffractive scattering in an operator approach. The representation refers to the observed large rapidity gap but does not require reference to a pomeron picture. We discuss both the case of vanishing target mass $M$ and momentum transfer $t$ as well as the effects at finite $t$ and $M$, which lead to modifications at large $\beta$ and low values of $Q^2$.

Source: http://arxiv.org/abs/0706.2478v1

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Sep 20, 2013
09/13

by
B. Geyer; D. Müller; D. Robaschik

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The twist three contributions to the $Q^2$-evolution of the spin-dependent structure function $g_2(x_{Bj},Q^2)$ are considered in the non-local operator product approach. Defining appropriate twist three distribution function we derive their evolution equation for the nonsinglet case in leading order approximation. In the limit $x_{Bj} \rightarrow 1$ as well as in the large $N_c$ limit we confirm the result that the evolution of the nonsinglet part of $g_2$ is governed by a...

Source: http://arxiv.org/abs/hep-ph/9611452v1

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Sep 20, 2013
09/13

by
B. Geyer; D. M. Gitman; P. M. Lavrov

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A modified version of triplectic quantization, first introduce by Batalin and Martnelius, is proposed which makes use of two independent master equations, one for the action and one for the gauge functional such that the initial classical action also obeys that master equation.

Source: http://arxiv.org/abs/hep-th/9810001v1

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Sep 18, 2013
09/13

by
B. Geyer; D. M. Gitman; I. V. Tyutin

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The structure of the Euler-Lagrange equations for a general Lagrangian theory is studied. For these equations we present a reduction procedure to the so-called canonical form. In the canonical form the equations are solved with respect to highest-order derivatives of nongauge coordinates, whereas gauge coordinates and their derivatives enter in the right hand sides of the equations as arbitrary functions of time. The reduction procedure reveals constraints in the Lagrangian formulation of...

Source: http://arxiv.org/abs/hep-th/0212289v1

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Sep 19, 2013
09/13

by
B. Geyer; D. M. Gitman; P. M. Lavrov

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A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known as triplectic quantization are considered.

Source: http://arxiv.org/abs/hep-th/9911176v1

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Sep 18, 2013
09/13

by
A. V. Belitsky; B. Geyer; D. Mueller; A. Schaefer

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We have found the analytical solution of the LO-evolution equation for off-forward distributions which arise in the processes of deeply virtual Compton scattering or exclusive production of mesons. We present the predictions for their evolution with an input distribution taken from recent bag model calculations.

Source: http://arxiv.org/abs/hep-ph/9710427v3

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Sep 20, 2013
09/13

by
B. Geyer; D. M. Gitman; P. M. Lavrov; P. Yu. Moshin

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We consider the two-dimensional model of W3-gravity within Lagrangian quantization methods for general gauge theories. We use the Batalin-Vilkovisky formalism to study the arbitrariness in the realization of the gauge algebra. We obtain a one-parametric non-analytic extension of the gauge algebra, and a corresponding solution of the classical master equation, related via an anticanonical transformation to a solution corresponding to an analytic realization. We investigate the possibility of...

Source: http://arxiv.org/abs/hep-th/0301060v1

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Sep 22, 2013
09/13

by
B. Geyer; D. M. Gitman; P. M. Lavrov; P. Yu. Moshin

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We propose a superfield formalism of Lagrangian BRST-antiBRST quantization of arbitrary gauge theories in general coordinates with the base manifold of fields and antifields desribed in terms of both bosonic and fermionic variables.

Source: http://arxiv.org/abs/hep-th/0310143v1